Question

1 find the product.
$(x - 12)(x + 12)$
d. $x^2 - 24x - 144$
e. $x^2 - 144$
f. $x^2 - 24x + 144$
g. $x^2 + 144$

Explanation:

Step1: Recall difference of squares formula

The formula for the product of a sum and a difference is \((a - b)(a + b)=a^2 - b^2\). Here, \(a = x\) and \(b = 12\).

Step2: Apply the formula

Substitute \(a = x\) and \(b = 12\) into the formula: \((x - 12)(x + 12)=x^2-12^2\).

Step3: Calculate \(12^2\)

Since \(12^2 = 144\), we get \(x^2 - 144\).

Answer:

E. \(x^2 - 144\)